Multiplication of Positive and Negative Integers Worksheet for 7th ... - Free Printable

It looks like you've uploaded an image containing a worksheet titled "Multiplication Positive/Negative" with various multiplication problems involving positive and negative integers. Let's go through the problems one by one, solve them, and explain the rules used.

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🔷 Rules for Multiplying Positive and Negative Numbers:

1. Positive × Positive = Positive
Example: \( 3 \times 4 = 12 \)

2. Negative × Negative = Positive
Example: \( (-3) \times (-4) = 12 \)

3. Positive × Negative = Negative
Example: \( 3 \times (-4) = -12 \)

4. Negative × Positive = Negative
Example: \( (-3) \times 4 = -12 \)

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Now let’s solve each problem from the worksheet:

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✔ Problem Set:

1. \( -6 \times 4 = -24 \)
→ Negative × Positive = Negative
→ \( 6 \times 4 = 24 \), so answer is \( -24 \)

2. \( -3 \times 1 = -3 \)
→ Negative × Positive = Negative

3. \( -8 \times 7 = -56 \)
→ Negative × Positive = Negative

4. \( -1 \times 1 = -1 \)
→ Negative × Positive = Negative

5. \( 7 \times 0 = 0 \)
→ Any number × 0 = 0

6. \( -63 \div 9 = -7 \)
→ Wait — this is division, not multiplication. But the title says "Multiplication".
However, looking at the format, it seems like this might be a typo or mislabeling. But since the problem says “Multiplication”, we’ll assume it’s meant to be multiplication. But the expression is written as division. Let's check:
Actually, the original says:
`6. -63 ÷ 9 = -7` — but that’s division, not multiplication.
So likely, this was intended to be:
\( -63 \times ? \) — but it's written as division.

Wait — upon closer inspection, the worksheet appears to have some division problems mixed in, which contradicts the title. But based on the layout, here are the expressions:

Let me list all the problems clearly (from the image):

```
1. -6 × 4 = -24
2. -3 × 1 = -3
3. -8 × 7 = -56
4. -1 × 1 = -1
5. 7 × 0 = 0
6. -63 ÷ 9 = -7 ← Division!
7. 3 × 6 = 18
8. 3 × 4 = 12
9. 7 × 2 = 14
10. -2 × 6 = -12
11. 3 × 9 = 27
12. 7 × 7 = 49
13. 3 × (-2) = -6
14. -1 × 1 = -1
15. 8 × (-3) = -24
16. 1 × (-7) = -7
17. 0 × 7 = 0
18. -4 × 6 = -24
19. 0 × 8 = 0
20. 3 × 7 = 21
21. -1 × 6 = -6
22. -6 × 0 = 0
23. 5 × (-8) = -40
24. -3 × 4 = -12
25. -6 × 1 = -6
26. 1 × 9 = 9
27. 7 × (-7) = -49
28. -5 × 1 = -5
29. 8 × 1 = 8
30. 7 × 1 = 7
```

Wait — there's a mistake in problem #6:
It says: `-63 ÷ 9 = -7` — but that’s division, not multiplication.

But all others seem to be multiplication. Let's assume that the intention was to test multiplication of integers, and perhaps #6 is a typo.

But looking closely:
In the image, it says:
`-63 ÷ 9 = -7` — but that’s division.

So unless the worksheet is actually mixing operations, which would be confusing, we should assume it's a formatting error.

Alternatively, maybe it's supposed to be:
`-63 × 9 = ?` — but that would be -567, not -7.

Or perhaps it's a typo and should be:
`-63 ÷ 9 = -7` — correct, but not multiplication.

Given the context, I suspect that problem #6 is incorrectly labeled as multiplication, but it's actually division.

But since the task is about multiplication, we'll focus on the multiplication problems.

Let’s now verify all multiplication problems and their answers.

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✔ Verification of Each Multiplication Problem:

1. \( -6 \times 4 = -24 \) → ✔ Correct
2. \( -3 \times 1 = -3 \) → ✔ Correct
3. \( -8 \times 7 = -56 \) → ✔ Correct
4. \( -1 \times 1 = -1 \) → ✔ Correct
5. \( 7 \times 0 = 0 \) → ✔ Correct
6. \( -63 ÷ 9 = -7 \) → ✘ Not multiplication; division.
If it were multiplication: \( -63 \times 9 = -567 \), but that’s not listed.
So likely, this is a mistake in the worksheet.

7. \( 3 \times 6 = 18 \) → ✔ Correct
8. \( 3 \times 4 = 12 \) → ✔ Correct
9. \( 7 \times 2 = 14 \) → ✔ Correct
10. \( -2 \times 6 = -12 \) → ✔ Correct
11. \( 3 \times 9 = 27 \) → ✔ Correct
12. \( 7 \times 7 = 49 \) → ✔ Correct
13. \( 3 \times (-2) = -6 \) → ✔ Correct
14. \( -1 \times 1 = -1 \) → ✔ Correct
15. \( 8 \times (-3) = -24 \) → ✔ Correct
16. \( 1 \times (-7) = -7 \) → ✔ Correct
17. \( 0 \times 7 = 0 \) → ✔ Correct
18. \( -4 \times 6 = -24 \) → ✔ Correct
19. \( 0 \times 8 = 0 \) → ✔ Correct
20. \( 3 \times 7 = 21 \) → ✔ Correct
21. \( -1 \times 6 = -6 \) → ✔ Correct
22. \( -6 \times 0 = 0 \) → ✔ Correct
23. \( 5 \times (-8) = -40 \) → ✔ Correct
24. \( -3 \times 4 = -12 \) → ✔ Correct
25. \( -6 \times 1 = -6 \) → ✔ Correct
26. \( 1 \times 9 = 9 \) → ✔ Correct
27. \( 7 \times (-7) = -49 \) → ✔ Correct
28. \( -5 \times 1 = -5 \) → ✔ Correct
29. \( 8 \times 1 = 8 \) → ✔ Correct
30. \( 7 \times 1 = 7 \) → ✔ Correct

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❗ Issue:

Only Problem #6 is not multiplication — it's division:
\( -63 \div 9 = -7 \) → This is correct as division, but doesn't belong in a multiplication worksheet.

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✔ Final Answer Summary:

All multiplication problems are correctly solved, following the sign rules:
- Same signs → Positive
- Different signs → Negative
- Any number × 0 = 0

The only discrepancy is Problem #6, which is division, not multiplication.

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✔ Recommendation:

If this is a student worksheet, the teacher should either:
- Remove or replace problem #6 with a multiplication problem, or
- Clarify that the worksheet includes both operations.

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🟩 Conclusion:

✔ All multiplication problems are correctly solved.
⚠️ One problem (#6) is division, which is inconsistent with the title.

Let me know if you'd like a corrected version of the worksheet!